Finding the Fourth Proportional to 10,333.46, 14,259.87 and 5,857.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,333.46 : 14,259.87 = 5,857.62 : x
2. Step 2: Convert to fraction form
   10,333.46/14,259.87 = 5,857.62/x
3. Step 3: Cross multiply
   10,333.46x = 14,259.87 × 5,857.62
4. Step 4: Simplify right side
   10,333.46x = 83,528,899.71
5. Step 5: Solve for x
   x = 83,528,899.71/10,333.46
6. Step 6: Final answer
   x = 8,083.35